Based on the generalized Huygens-Fresnel integral,analytical propag ation formulas for Guassian beams through thin lenses in turbulent atmosphere are derived,and the expressions of on-axis maximum intensi ty on-axis and relative focal shift are evaluated by the propagation formulas.The expression are studied numerically,and the results show tha t the law of focus properties in turbulent atmosphere is the same as that in free space.In other words,the relative focal shift of Gussian beam firstly increases to a maximum value and then decreases gradually with the increasing of the propagation distance,it is reduced with the increasing of the beam waist,and the greater the focal length of thin lenses is, the greater the relative focal shift is.The influence of turbulent atmospher e on focusing properties of Guassian beams is to reduce the maximum on-axis intensity and increase the relative focal shift.In order to obtain the max imum intensity and less relative focal shift,the Gussian beam should be focused with bigger beam waist through thinner lenses with smaller focal length.